729,014

2 × 11 × 13 × 2549

Starting at 729,014, the Collatz iteration reaches 1 after 92 steps. The first transition is 364507; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 2549

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,285,200

Proper Divisor Sum 556,186

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #728993 ← → #729019

Radix Representation

Decimal	729014
Binary	10110001111110110110 (20 bits)
Octal	0o2617666
Hexadecimal	0xB1FB6

Divisor Catalog (16)

1 2 11 13 22 26 143 286 2,549 5,098 28,039 33,137 56,078 66,274 364,507 729,014

Collatz Trajectory (92 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

729,014 364,507 1,093,522 546,761 1,640,284 820,142 410,071 1,230,214 615,107 1,845,322 922,661 2,767,984 1,383,992 691,996 345,998 172,999 518,998 259,499 778,498 389,249 1,167,748 583,874 291,937 875,812 437,906 218,953 656,860 328,430 164,215 492,646 246,323 738,970 369,485 1,108,456 554,228 277,114 138,557 415,672 207,836 103,918 51,959 155,878 77,939 233,818 116,909 350,728 175,364 87,682 43,841 131,524 65,762 32,881 98,644 49,322 24,661 73,984 36,992 18,496 9,248 4,624

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